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The two-dimensional kinetic Ising model, when exposed to an oscillating applied magnetic field, has been shown to exhibit a nonequilibrium, second-order dynamic phase transition (DPT), whose order parameter Q is the period-averaged…

Statistical Mechanics · Physics 2007-09-12 D. T. Robb , P. A. Rikvold , A. Berger , M. A. Novotny

We study dynamical phase transitions in systems with long-range interactions, using the Hamiltonian Mean Field (HMF) model as a simple example. These systems generically undergo a violent relaxation to a quasi-stationary state (QSS) before…

Statistical Mechanics · Physics 2009-11-13 Alessandro Campa , Pierre-Henri Chavanis , Andrea Giansanti , Gianluca Morelli

In nonequilibrium steady states of Markov jump processes, we derive exact Fluctuation-Response Relations (FRRs) that express the covariance between any pair of currents in terms of static responses in a notably simple form, thus…

Statistical Mechanics · Physics 2025-04-17 Timur Aslyamov , Krzysztof Ptaszyński , Massimiliano Esposito

Critical fluctuations of some order parameter describing a fluid generates long-range forces between boundaries. Here, we discuss fluctuation-induced forces associated to a disordered Landau-Ginzburg model defined in a $d$-dimensional slab…

Disordered Systems and Neural Networks · Physics 2022-06-01 C. D. Rodríguez-Camargo , A. Saldivar , N. F. Svaiter

The fluctuation dissipation theorem (FDT) is the basis for a microscopic description of the interaction between electromagnetic radiation and matter.By assuming the electromagnetic radiation in thermal equilibrium and the interaction in the…

Statistical Mechanics · Physics 2018-05-22 Lino Reggiani , Eleonora Alfinito

The present work pursues the investigation of the role of spatial asymmetry and irreversibility on the dynamical properties of spin systems. We consider the ferromagnetic spherical model with asymmetric linear Langevin dynamics. Such an…

Statistical Mechanics · Physics 2015-06-15 C Godreche , J M Luck

We analyze the real-time dynamics of a quantum two-state system in the presence of nonequilibrium quantum fluctuations. The latter are generated by a coupling of the two-state system to a single electronic level of a quantum dot which…

Mesoscale and Nanoscale Physics · Physics 2016-12-20 Niklas Mann , Jochen Brüggemann , Michael Thorwart

The non-Gaussian fluctuations of baryon density are sensitive to the presence of the conjectured QCD critical point. Their observational consequences are crucial for the ongoing experimental search for this critical point through the beam…

Nuclear Theory · Physics 2022-04-13 Noriyuki Sogabe , Yi Yin

Linear diffusions are used to model a large number of stochastic processes in physics, including small mechanical and electrical systems perturbed by thermal noise, as well as Brownian particles controlled by electrical and optical forces.…

Statistical Mechanics · Physics 2023-05-10 Johan du Buisson , Hugo Touchette

Recently Mayer et al. [Phys. Rev. E {\bf 68}, 016116 (2003)] proposed a new way to compute numerically the fluctuation-dissipation ratios in nonequilibrium critical systems. Using well-known facts of nonequilibrium critical dynamics I show…

Statistical Mechanics · Physics 2009-11-10 Michel Pleimling

We investigate dynamical fluctuations of transferred magnetization in the one-dimensional lattice Landau--Lifshitz magnet with uniaxial anisotropy, representing an emblematic model of interacting spins. We demonstrate that the structure of…

Statistical Mechanics · Physics 2022-03-08 Žiga Krajnik , Enej Ilievski , Tomaž Prosen

In small systems where relevant energies are comparable to thermal agitation, fluctuations are of the order of average values. In systems in thermodynamical equilibrium, the variance of these fluctuations can be related to the dissipation…

Statistical Mechanics · Physics 2007-05-23 Nicolas Garnier , Ciliberto Sergio

The fluctuation-dissipation relation is calculated for a class of stochastic models obeying a master equation. The transition rates are assumed to obey detailed balance also in the presence of a field. It is shown that in general the linear…

Statistical Mechanics · Physics 2016-08-31 Gregor Diezemann

Having established the fact that interacting classical kicked rotor systems exhibit long-lived prethermal phase with quasi-conserved average Hamiltonian before entering into chaotic heating regime, we use spatio-temporal fluctuation…

Statistical Mechanics · Physics 2021-09-01 Aritra Kundu , Atanu Rajak , Tanay Nag

We show how a general formulation of the Fluctuation-Response Relation is able to describe in detail the connection between response properties to external perturbations and spontaneous fluctuations in systems with fast and slow variables.…

Chaotic Dynamics · Physics 2020-01-29 Guglielmo Lacorata , Angelo Vulpiani

We study the off-equilibrium two-point critical response and correlation functions for the relaxational dynamics with a coupling to a conserved density (Model C) of the O(N) vector model. They are determined in an \epsilon=4-d expansion for…

Statistical Mechanics · Physics 2009-11-07 Pasquale Calabrese , Andrea Gambassi

The nonequilibrium dynamic phase transition, in the kinetic Ising model in presence of an oscillating magnetic field, has been studied by Monte Carlo simulation. The fluctuation of dynamic order parameter has been studied as a function of…

Condensed Matter · Physics 2009-10-30 Muktish Acharyya

We compute the fluctuations of the magnetization and of the multi-overlaps for the dilute mean field ferromagnet, in the high temperature region. The rescaled magnetization tends to a centered Gaussian variable with variance diverging at…

Mathematical Physics · Physics 2008-11-14 Luca De Sanctis

We analyze the quantum dynamics of the fractional-time Jaynes-Cummings model using a recent unitary framework for the fractional-time Schr\"odinger equation. We examine how the fractional derivative order $\alpha$ influences non-classical…

Quantum Physics · Physics 2026-04-23 Thiago T. Tsutsui , Danilo Cius , Antonio S. M. de Castro , Fabiano M. Andrade

Recently it was argued that quantum phase transitions can be radically different from classical phase transitions with as a highlight the 'deconfined critical points' exhibiting fractionalization of quantum numbers due to Berry phase…

Strongly Correlated Electrons · Physics 2009-11-11 Frank Krüger , Stefan Scheidl